Speaker: Xu Xindong, Associate Professor, School of Mathematics, Southeast University

Date: Apr.20, 2021

Time: 2:00-3:00 p.m.

Location: Tencent Meeting ID:159 319 839

Abstract:

We prove an infinite-dimensional KAM theorem for a Hamiltonian system with sublinear growth frequencies at infinity. The main purpose is to present a new and simple method to study the dynamics of such Hamiltonian. We will outline the main difficulty due to sublinear growth frequencies and then present the method to overcome this problem. We apply this theorem to a fractional nonlinear Schrödinger equation on the torus T, thus proving existence and stability of quasi-periodic solutions.

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https://www.view.sdu.edu.cn/info/1020/149036.htm